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Finding the Third Proportional to 195,998 and 429,361

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Solution

The third proportional to 195,998 and 429,361 is: 940,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,998 : 429,361 = 429,361 : x
  2. Step 2: Convert to fraction form
    195,998/429,361 = 429,361/x
  3. Step 3: Cross multiply
    195,998x = 429,361 × 429,361
  4. Step 4: Simplify right side
    195,998x = 184,350,868,321
  5. Step 5: Solve for x
    x = 184,350,868,321/195,998
  6. Step 6: Final answer
    x = 940,575.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.